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Q&A #820

Teachers' Lounge Discussion: Explaining the relationship between the degree of a function and its shape

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From: James Jarrell <james.jarrell@sparta.org>
To: Teacher2Teacher Public Discussion
Date: 2009062019:14:59
Subject: Re: The shape of a function and its degree

Polynomials of even degree are not parabolas. Polynomials of degree
two are. Someone has not figured out how to find the roots of a
polynomial of degree greater than four.  In fact Galois proved it is
impossible. Polynomials do not all have lines of symmetry. I can only
assume that what the mis-informed teacher that wrote the note before
this one is that they were talking about polynomials of the form y=a
x^n. 


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